[Program Service | Recent programs]

NEA-0900 TPHEX (Abstract last modified 14-SEP-1993)


TPHEX, MultiGroup Neutron Flux in Homogeneous Hexagonal LWR Cells

---

Abstract Table of Contents:

NAME | COMPUTER | PROBLEM | SOLUTION | RESTRICTIONS | CPU | FEATURES | AUXILIARIES | STATUS | REFERENCES | REQUIREMENTS | LANGUAGE | OPERATING SYSTEM | OTHER RESTRICTIONS | AUTHOR | MATERIAL | CATEGORIES |

---

1. NAME OR DESIGNATION OF PROGRAM - TPHEX 


2. COMPUTER FOR WHICH PROGRAM IS DESIGNED AND OTHER MACHINE VERSION PACKAGES AVAILABLE -

To request or retrieve programs click on the one of the active versions below. A password and special authorization is required.

Explanation of the status codes.

Program-name         Package-ID  Status
TPHEX                NEA-0900/01 Arrived
TPHEX                NEA-0900/02 Arrived
TPHEX                NEA-0900/03 Tested

Machines used:
Package-ID     Orig.Computer                       Test Computer
NEA-0900/01    CDC CYBER 173                       
NEA-0900/02    CDC CYBER 173                       
NEA-0900/03    CRAY X-MP                           CRAY-XMS

3. DESCRIPTION OF PROGRAM OR FUNCTION - This program is intended to calculate the multigroup neutron flux distribution in an assembly of homogenized hexagonal cells using a transmission probability (interface current) method. It is primarily intended for calculations on hexagonal LWR fuel assemblies, with each cell corresponding to a pin cell, but can be used for other purposes, although its accuracy in other applications must be established separately. The flux at each cell interface is divided azimuthally into 60-degree sectors, with two components (an incomplete P1 expansion) in each sector. The interface fluxes are connected by transmission of uncollided neutrons through the cell. AN isotropic source (from fission or scattering) within the cell with a parabolic spatial distribution also contributes. The boundary conditions may correspond to full reflection at the midplanes of the peripheral cells or (approximately) to a diagonal albedo matrix. Periodic boundary conditions can easily be implemented. If the peripheral cells are not regular hexagons, an edge transport correction may be applied to decrease the error from treating them as regular.


4. METHOD OF SOLUTION - The flux in one group is solved in an inner iteration, which may be accelerated by successive overrelaxation and, optionally, renormalization. The fluxes in different groups, connected through scattering and fission, are solved by outer iteration.
The coefficients needed by the program (transmission coefficients etc.) are interpolated from precalculated values stored in a file.


5. RESTRICTIONS ON THE COMPLEXITY OF THE PROBLEM - The optical thickness of the cells must be in the range from 0.1 to 5. These limits can be expanded if the coefficient file is recalculated, but the accuracy is best when the optical thickness is not too near the ends of this range.
Variable dimensioning is used, so there are no fixed limits on the number of cells or groups. However, since 48 variables are needed to describe the flux and source in each cell and group, and since many coefficients are also needed, large problems (more than about 225 cells) may require lots of memory, even though only data for one group at a time are held in memory.


6. TYPICAL RUNNING TIME - Somewhat less than 1 minutes on a UNIVAC 1108 for 36 cells and 7 groups. As a rule of thumb, TPHEX takes about 5
times as long as a diffusion program but less than 1.10 of the time of a collision probability program.

NEA-0900/03:

The four test cases included in this package have been run by NEA-DB on a Cray-XMS computer in a total of 22 seconds of CPU time.


7. UNUSUAL FEATURES OF THE PROGRAM - TPHEX was developed for use as a 2-D module in the assembly burnup program CASMO-HEX and was intended to be more accurate than a diffusion program and faster than a collision probability (CP) program in the calculation of the flux distribution within a fuel assembly. This aim was achieved, and in practice it also turned out to give more accurate results than the CP module in CASMO-HEX.
Since TPHEX was not intended for use as a stand-alone program, little attention was paid to user convenience in programming the input. Any user who intends to use TPHEX extensively as a stand-alone program would be well advised to reprogram the input.


8. RELATED AND AUXILIARY PROGRAMS - SNOOPY snoops out relevant data from the TPHEX iteration debug output file.
TPHEXTR may be used to accelerate convergence through extrapolation in cases where the convergence is very slow (such as large systems of optically thick cells). If this is needed often, it should be incorporated in TPHEX itself. We have not found this necessary for normal applications.
TPHXPND can be used to obtain pointwise rather than cell average fluxes from the parabolic expansion used within each cell. (This should be used critically, the resulting flux distributions are not necessarily accurate, especially not if the cell is actually heterogeneous.)


9. STATUS
NEA-0900/01: 18-MAY-2001 Masterfiled Arrived
NEA-0900/02: 22-NOV-2001 Masterfiled Arrived
NEA-0900/03: 14-SEP-1993 Tested at NEADB


10. REFERENCES  - 
 F. Wasastjerna: An Application of the Transmission 
Probability Method to the Calculation of Neutron Flux Distributions in Hexagonal Geometry. Nuclear Science and Engineering, 72, 9-18
(1979). 
NEA-0900/01:
- F. Wasastjerna:
  TPHEX User's Manual
  Nuclear Engineering Laboratory, Technical Research Centre of
  Finland, Helsinki
  Report 47 (March 1980).
- F. Wasastjerna and I. Lux:
  A Transmission Probability Method for Calculation of Neutron Flux
  Distributions in Hexagonal Geometry
  Nuclear Engineering Laboratory, Technical Research Centre of
  Finland, Helsinki
  Report 46 (March 1980).
- F. Wasastjerna and I. Lux:
  TPHEX Programmer's Manual
  Nuclear Engineering Laboratory, Technical Research Centre of
  Finland, Helsinki
  Research Notes 149 (October 1982).
- F. Wasastjerna:
  TPCURR/T-2, A Program for Printing Cell-to-Cell Partial Currents
  Calculated by the Stand-Alone of TPHEX
  REP-17/85 (August 22, 1985).
- F. Wasastjerna:
  Validation of TPHEX
  REP-22/85 (November 7, 1985).
- F. Wasastjerna:
  Validation of CASMO-HEX by Comparison with ZR-6 Experiments
  REP-23/85 (November 7, 1985).
- F. Wasastjerna:
  An Application of the Transmission Probability Method to the
  Calculation of Neutron Flux Distributions in Hexagonal Geometry
  Reprint Nuclear Science and Engineering 72,9-18 (1979).
NEA-0900/02:
- F. Wasastjerna:
  TPHEX User's Manual
  Nuclear Engineering Laboratory, Technical Research Centre of
  Finland, Helsinki
  Report 47 (March 1980).
- F. Wasastjerna:
  TPCURR/T, A Program for Printing Cell-to-Cell Partial Currents
  Calculated by the Stand-Alone Version of TPHEX
  REP-5/82 (March 1982).
- F. Wasastjerna:
  TPCURR/T-2, A Program for Printing Cell-to-Cell Partial Currents
  Calculated by the Stand-Alone Version of TPHEX
  REP-17/85 (August 1985).
- F. Wasastjerna and I. Lux:
  TPHEX Programmer's Manual
  Nuclear Engineering Laboratory, Report 149 (October 1982).
- F. Wasastjerna:
  Validation of TPHEX
  REP-22/85 (November 1985).
- F. Wasastjerna:
  An Application of the Transmission Probability Method to the
  Calculation of Neutron Flux Distributions in Hexagonal Geometry
  Reprint Nuclear Science and Engineering 72, 9-18 (1979).
- F. Wasastjerna and I. Lux:
  A Transmission Probability Method for Calculation of Neutron Flux
  Distributions in Hexagonal Geometry
  Nuclear Engineering Laboratory, Report 46 (March 1980).
NEA-0900/03:
- F. Wasastjerna:
  TPHEX User's Manual
  Nuclear Engineering Laboratory, Technical Research Centre of
  Finland, Helsinki
  Report 47 (March 1980).
- F. Wasastjerna:
  TPCURR-T, A Program for Printing Cell-to-Cell Partial Currents
  Calculated by the Stand-Alone Version of TPHEX
  REP-5/82 (March 1982).
- F. Wasastjerna:
  TPCURR-T2, A Program for Printing Cell-to-Cell Partial Currents
  Calculated by the Stand-Alone Version of TPHEX
  REP-17/85 (August 1985).
- F. Wasastjerna and I. Lux:
  TPHEX Programmer's Manual
  Nuclear Engineering Laboratory, Report 149 (October 1982).
- F. Wasastjerna:
  Validation of TPHEX
  REP-22/85 (November 1985).
- F. Wasastjerna:
  An Application of the Transmission Probability Method to the
  Calculation of Neutron Flux Distributions in Hexagonal Geometry
  Reprint Nuclear Science and Engineering 72, 9-18 (1979).
- F. Wasastjerna and I. Lux:
  A Transmission Probability Method for Calculation of Neutron Flux
  Distributions in Hexagonal Geometry
  Nuclear Engineering Laboratory, Report 46 (March 1980).


11. MACHINE REQUIREMENTS: 64 K words or more of memory, back-up storage on discs or other media and a line printer. Clock calls are present in TPHEX but can be omitted if necessary.


12. PROGRAMMING LANGUAGE(S) USED -
NEA-0900/01: FORTRAN-IV 
NEA-0900/02: FORTRAN-IV 
NEA-0900/03: FORTRAN-77 


13. OPERATING SYSTEM UNDER WHICH PROGRAM IS EXECUTED - 
NEA 0900/03: The test cases have been run on Cray-XMS under UNICOS-6.1. The source program was compiled using the CFT77 compiler.


14. OTHER PROGRAMMING OR OPERATING INFORMATION OR RESTRICTIONS - 


15. NAME AND ESTABLISHMENT OF AUTHORS - 
     Frej WASASTJERNA 
     Nuclear Engineering Laboratory 
     Technical Research Centre of Finland 
     P.O. Box 208 
     F-02151 ESPOO, Finland 


16. MATERIAL AVAILABLE -
NEA-0900/01:
TPHEXCDC.FOR TPHEX Source File             
TABU.DAT Test-Case Data                    
SNOOPYCDC.FOR Source File                  
TPHEXTRCDC.FOR Source File                 
TPHEXPNDCDC.FOR Source File                
TPCURRC1CDC.FOR Source File                
report                   Report 47 (March 1980)                     REPPT
report                   Report 46 (March 1980)                     REPPT
report                   Research Notes 149 (October 1982)          REPPT
report                   REP-17/85 (August 22, 1985)                REPPT
report                   REP-22/85 (November 7, 1985)               REPPT
report                   REP-23/85 (November 7, 1985)               REPPT
paper                    Reprint from Nucl.Sci.&Eng. 72,9-18 (1979) PAPPT
NEA-0900/02:
TPHEX Source File (FORTRAN IV)             
TABU (Coefficient Library for TPHEX)       
Input Data Sample Case 1 for TPHEX         
Input Data Sample Case 2 for TPHEX         
Input Data Sample Case 3 for TPHEX         
Input Data Sample Case 4 for TPHEX         
Output from TPHEX Sample Case 1            
Output from TPHEX Sample Case 2            
Output from TPHEX Sample Case 3            
Output from TPHEX Sample Case 4            
SNOOPY Source File (FORTRAN IV)            
TPHEXTR Source File (FORTRAN IV)           
TPHEXPND Source File (FORTRAN IV)          
TPCURR-T Source File (FORTRAN 77)          
Input Data Sample Case 1 for TPCURR-T      
Output from TPCURR-T Sample Case 1         
TPCURR/T-2 Source File                     
Run Stream & Input Data                    
Input File (FLUX Distrib. Calcul. by TPHEX)
Output File                                
report                   Report 47 (March 1980)                     REPPT
report                   REP 5/82 (March 1982)                      REPPT
report                   REP-17/85 (August 1985)                    REPPT
report                   Report 149 (October 1982)                  REPPT
report                   REP-22/85 (November 7, 1985)               REPPT
paper                    Reprint from Nucl.Sci.&Eng. 72,9-18 (1979) PAPPT
report                   Report 46 (March 1980)                     REPPT
NEA-0900/03:
NEA0900_03.001    Information file                                   69 records
NEA0900_03.002    JCL to compile, link and run TPHEX code            20 records
NEA0900_03.003    TPHEX.F - FORTRAN 77 source for TPHEX            3513 records
NEA0900_03.004    TABU - table of coefficients                     4078 records
NEA0900_03.005    INP1 - TPHEX sample input 1                        77 records
NEA0900_03.006    INP2 - TPHEX sample input 2                        30 records
NEA0900_03.007    INP3 - TPHEX sample input 3                        31 records
NEA0900_03.008    INP4 - TPHEX sample input 4                        37 records
NEA0900_03.009    OUT1 - TPHEX sample output 1                      297 records
NEA0900_03.010    OUT2 - TPHEX sample output 2                      584 records
NEA0900_03.011    OUT3 - TPHEX sample output 3                      151 records
NEA0900_03.012    OUT4 - TPHEX sample output 4                      166 records
NEA0900_03.013    SNOOPY.F FORTRAN debugger source program          521 records
NEA0900_03.014    TPHEXTR.F FORTRAN source program                   89 records
NEA0900_03.015    TPHEPND.F FORTRAN source program                  231 records
NEA0900_03.016    TPCURR.F FORTRAN 77 source program                192 records
NEA0900_03.017    TPCURR.INP input to TPCURR                          7 records
NEA0900_03.018    TPCURR.OUT output from TPCURR                      71 records
NEA0900_03.019    FLUX - flux output from TPHEX                      86 records


17. CATEGORIES  - 

- C.  Static Design Studies


Keywords: FLUX DISTRIBUTION, HEXAGONAL LATTICES, LWR REACTORS, NEUTRON FLUX

---

Home - About Us - Work Areas - Data Bank - Publications - Press Room - List of acronyms - Search